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Discrete Mathematics with Applications

  • 1st Edition - December 8, 2003
  • Latest edition
  • Author: Thomas Koshy
  • Language: English

This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems… Read more

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Description

This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation.

Key features

* Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations* Weaves numerous applications into the text* Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects* Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises* Features interesting anecdotes and biographies of 60 mathematicians and computer scientists* Instructor's Manual available for adopters* Student Solutions Manual available separately for purchase (ISBN: 0124211828)

Readership

Students in computer science, electrical engineering, or mathematics; an excellent preparation for courses such as Linear Algebra, Number Theory, and Modern/Abstract Algebra and for computer science courses such as Data Structures, Analysis of Algorithms, Programming Languages, Theory of Compilers, Databases, and Theory of Computation.

Table of contents

Preface: A Word to the Student; 1. The Language of Logic; 2. The Language of Sets; 3. Functions and Matrices; 4. Induction and Algorithms; 5. Recursion; 6. Combinatorics and Discrete Probability; 7. Relations; 8. Graphs; 9. Trees; 10. Digraphs; 11. Formal Languages and Finite-State Machines; 12. Boolean Algebra and Combinatorial Circuits; Appendix; Bibliography; Solutions to Odd Numbered Exercises; Index.

Product details

  • Edition: 1
  • Latest edition
  • Published: January 19, 2004
  • Language: English

About the author

TK

Thomas Koshy

Affiliations and expertise
Framingham State University, Massachusetts, U.S.A.

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